ſimple, or, according to cor. 2. of the laws, compounded out of ſeveral forces) we ſubduct (by the ſame cor.) that whole accelerative force, by which the other body is urged; the whole remaining force by which the firſt body is urged, will tend to the other body T, as its centre.
Cor. 2. And, if theſe areas are proportional to the times nearly, the remaining force will tend to the other body T nearly.
Cor. 3. And vice verſa, if the remaining force tends nearly to the other body T, thoſe areas will be nearly proportional to the times.
Cor. 4. If the body L, by a radius drawn to the other body T, deſcribes areas, which compared with the times, are very unequal; and that other body T be either at reſt or moves uniformly forward in a right line: the action of the centripetal force tending to that other body T, is either none at all, or it is mix'd and compounded with very powerful actions of other forces: and the whole force compounded of them all, if they are many, is directed to another (immovable or moveable) centre. The ſame thing obtains, when the other body is moved by any motion whatſoever; provided that centripetal force is taken, which remains after ſubducting that whole force acting upon that other body T.
Scholium
Becauſe the equable deſcription of areas indicates that a centre reſpected by that force with which the body is moſt affected, and by which it is drawn back from its rectilinear motion, and retained in its orbit;
